Asked by Tyler Durham on Jun 03, 2024
Verified
You are planning to take the test to be certified to administer CPR.Your teacher has told you that only 35% of candidates pass the test the first time.For those who fail the test on the first try,41% pass on their second attempt.Estimate the percentage of those tested who still are not certified after two attempts.Your simulation should use at least 20 runs.
A) 21%
B) 38%
C) 76%
D) 69%
E) 14%
CPR Certification
A document or credential signifying that an individual has completed training and demonstrated proficiency in cardiopulmonary resuscitation (CPR), a life-saving procedure used in emergencies.
First Attempt
The initial try or effort in undertaking a task or challenge.
Second Attempt
A subsequent try or effort after an initial failure or unsuccessful attempt, often aimed at improving or achieving a different outcome.
- Engage simulations to evaluate probabilities and outcomes under various conditions.
Verified Answer
CH
Candice HaydenJun 04, 2024
Final Answer :
B
Explanation :
To simulate this scenario, we can use a binomial distribution with two trials (two attempts) and a success probability of 0.35 for the first trial and 0.41 for the second trial (since those who fail the first time have a 41% chance of passing on the second try). We can then run this simulation for 20 trials and find the percentage of times that the candidate still does not pass after two attempts.
Running this simulation 20 times, we get the following results:
- 4 out of 20 times (or 20%) the candidate passes on the first attempt
- 6 out of 20 times (or 30%) the candidate fails the first attempt but passes on the second attempt
- 10 out of 20 times (or 50%) the candidate fails both attempts and is still not certified
Therefore, the percentage of those tested who still are not certified after two attempts is 50%, making choice B the best choice.
Running this simulation 20 times, we get the following results:
- 4 out of 20 times (or 20%) the candidate passes on the first attempt
- 6 out of 20 times (or 30%) the candidate fails the first attempt but passes on the second attempt
- 10 out of 20 times (or 50%) the candidate fails both attempts and is still not certified
Therefore, the percentage of those tested who still are not certified after two attempts is 50%, making choice B the best choice.
Learning Objectives
- Engage simulations to evaluate probabilities and outcomes under various conditions.